Living Systems in Jainism: A Scientific Study: 13.13 ►Mathematical Model of Loka

A mathematical model of nature is useful in the study of this system. A comprehensive mathematical model of the loka must consider all the existential to arrive at a realistic result. A simplified model of the loka can be made based on the following considerations.

1. Presence of matter, both gravitational (eight-touch) and non-gravitational (four-touch). A suitable ratio of the two types can be assumed.
2. A uniform electric field due to the dynamic charge of paramanus (two-touch) extending through the whole loka.
3. The body of a mobile jiva has a continuous input and output of matter of both the gravitational and the non-gravitational types. The mobile jiva, therefore, can be modeled as a pair of source and sink of such matter. A uniform distribution of source-sink pairs can be assumed all over the trasanadi. The subtle immobile beings in the outer loka are a different class and do not possess this property.
4. Dharmastikaya and adharmastikaya as agents of motion and non-motion respectively. A linear variation along the trasanadi axis can be assumed.
5. Presence of GMV matter in the middle loka only, which can be assumed to be flat.
6. Presence of electrically charged spaces in the trasanadi, with a positive pole in the upper loka and a negative pole in the lower loka.
7. Akasa, space for all other components realities
8. Empirical time for measuring the duration of events.
9. Boundary conditions. The outer layers are free of life and therefore do not have eight-touch kinds of matter. These layers contain four-touch matter that can provide a force against gravity. Further, this matter is supposed to have a negative charge. Thus, the overall effect of the outer layers is to retard the motion of matter and provide a force against any tendency toward expansion. So, the outer layers can be modeled as a uniform force acting inwards on the boundary. Defining boundary conditions in this way effectively presupposes a finite loka, but this is not objectionable since most cosmologists believe that the universe could not be infinite.

As a first approximation, a two-dimensional model can be made because the loka on axial planes is expected to be similar.